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12182820 = 22351315619
BaseRepresentation
bin101110011110…
…010100100100
3211220221200120
4232132110210
511104322240
61113041540
7205360266
oct56362444
924827616
1012182820
116971151
1240b62b0
1326a7290
141891b36
151109ad0
hexb9e524

12182820 has 48 divisors (see below), whose sum is σ = 36738240. Its totient is φ = 2998656.

The previous prime is 12182809. The next prime is 12182837. The reversal of 12182820 is 2828121.

12182820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121828202 = 296842206304800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7030 + ... + 8589.

It is an arithmetic number, because the mean of its divisors is an integer number (765380).

Almost surely, 212182820 is an apocalyptic number.

12182820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12182820 is an abundant number, since it is smaller than the sum of its proper divisors (24555420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12182820 is a wasteful number, since it uses less digits than its factorization.

12182820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15644 (or 15642 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12182820 is about 3490.3896630606. The cubic root of 12182820 is about 230.0996417666.

The spelling of 12182820 in words is "twelve million, one hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 15619 31238 46857 62476 78095 93714 156190 187428 203047 234285 312380 406094 468570 609141 812188 937140 1015235 1218282 2030470 2436564 3045705 4060940 6091410 12182820